Some research even suggests the therapeutic effects of meditative movement can be useful for dealing with depression or anxiety.
Payne studies the cognitive effects of meditation and co-authored the paper Meditative Movement for Depression and Anxiety with Dr. Mardi Crane, another researcher and assistant professor at the Geisel School of Medicine.
Meditative movement differs from exercise in that, instead of just counting reps like you would in a gym and going through the mechanical motions, you focus on the movement itself.
You don't have to overthink this: You can start with some basic tai chi moves, like the pushing hands exercise, or some simple crawling movements, like this one, that don't require any real fitness skills.